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On optimal designs for censored data

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  • Dennis Schmidt
  • Rainer Schwabe

Abstract

In time to event experiments the individuals under study are observed to experience some event of interest. If this event is not observed until the end of the experiment, censoring occurs, which is a common feature in such studies. We consider the proportional hazards model with type I and random censoring and determine locally $$D$$ D - and $$c$$ c -optimal designs for a larger class of nonlinear models with two parameters, where the experimental conditions can be selected from a finite discrete design region, as is often the case in practice. Additionally, we compute $$D$$ D -optimal designs for a three-parameter model on a continuous design region. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Dennis Schmidt & Rainer Schwabe, 2015. "On optimal designs for censored data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(3), pages 237-257, April.
    • Handle: RePEc:spr:metrik:v:78:y:2015:i:3:p:237-257
    DOI: 10.1007/s00184-014-0500-1
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    1. Gerda Claeskens & Rosemary Nguti & Paul Janssen, 2008. "One-sided tests in shared frailty models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(1), pages 69-82, May.
    2. Holger Dette, 1997. "Designing Experiments with Respect to ‘Standardized’ Optimality Criteria," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 59(1), pages 97-110.
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    Cited by:

    1. Paul-Christian Bürkner, 2022. "On the Information Obtainable from Comparative Judgments," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1439-1472, December.

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